Implement immutable data type rational for rational number, Mathematics

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Implement an immutable data type Rational for rational numbers that supports addition, subtraction, multiplication and division.

public class Rational


Rational(int numerator, int denominator)

Rational

plus(Rational b)

sum of this number and b

Rational

minus(Rational b)

difference of this number and b

Rational

times(Rational b)

product of this number and b

Rational

divides(Rational b)

quotient of this number and b

boolean

equals(Rational that)

is this number equal to that?

String

toString()

string representation

Notes

  1. You do not have to worry about testing for overflow, but use as instance variables two long values that represent the numerator and denominator to limit the possibility of overflow.
  2. Use Euclid's algorithm to ensure that the numerator and denominator never have any common factors.
  3. Include a test client that exercises all of your methods.

 

 


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